Algebra Equivalent Problems

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

• 6

• 9

• 12

• 27

• 36

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

• 12 and 24

• 31 and 43

• 24 and 36

• 51 and 63

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

• 9 in by 12 in

• 3 in by 14 in

• 10 in by 11 in

• 8 in by 13 in

Find two consecutive numbers whose sum is 115.

• 57 and 58

• 44 and 45

• 56 and 57

• 225 and 226

• A

• B

• C

• D

• E

Which of these is equivalent to the expression?

6.7D

• 6c + 3

• 6 x (c x 3)

• (c + 6) x 3

• 6 x c x 3 x c

Answer explanation

For two expressions to be equivalent, their variable and operations must match.

• A

• B

• C

• D

Tags

6.7D

• F

• G

• H

• J

Tags

6.7D

Which of these is equivalent to the expression?

• 6c + 3

• 6 x (c x 3)

• (c + 6) x 3

• 6 x c x 3 x c

Answer explanation

For two expressions to be equivalent, their variable and operations must match.

Expressions that are equal, usually due to simplifying are: 

• Equivalent Expressions 

• Terms 

• Equation 

• Expression